Infrared Features of the Lattice Landau Gauge QCD

TL;DR

This paper investigates the infrared behavior of lattice Landau gauge QCD for SU(3), analyzing propagators and the running coupling, and explores the Gribov copy problem using parallel tempering gauge fixing.

Contribution

It provides new insights into the infrared properties of lattice Landau gauge QCD and examines the Gribov copy problem with novel gauge fixing methods.

Findings

Unexpected features of the fundamental modular gauge observed.

Infrared properties vary with lattice parameters and gauge fixing methods.

Insights into the Gribov copy problem in lattice QCD.

Abstract

The infrared properties of lattice Landau gauge QCD of SU(3) are studied by measuring gluon propagator, ghost propagator, QCD running coupling and Kugo-Ojima parameter of $\beta=6.0, 16^4,24^4,32^4$ and $\beta=6.4, 32^4,48^4$ lattices. We study Gribov copy problem by parallel tempering (PT) gauge fixing of $\beta=2.2, 16^4$ SU(2) configurations. Rather unexpected features of the unique gauge(fundamental modular gauge, FMG) are observed in relation of physical values vs the optimizing function.